Let $(X,\tau)$ be a Tychonoff Topological space. 

For each $x\in X$  consider an arbitrary  positive real number $\epsilon_x>0$. Is There a continuous real valued function $f:X\rightarrow \mathbb{R}$ with the following property:

$$\forall x \in X $$ 

$$0< f(x) < \epsilon_x$$